6-cube $Q_6 \cong H(6,2)$

Number of vertices:$64$
Diameter:$6$
Intersection array:$\{6,5,4,3,2,1;1,2,3,4,5,6\}$
Spectrum:$6^1 4^6 2^{15} 0^{20} (-2)^{15} (-4)^6 (-6)^1$
Automorphism group:$\mathbb{Z}_2\text{Wr}S_6$
Distance-transitive:Yes
Bipartite, Antipodal




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Last updated: 7 May 2024